Faster statistical model checking for unbounded temporal properties

P. Daca, T.A. Henzinger, J. Kretinsky, T. Petrov, ACM Transactions on Computational Logic (TOCL) 18 (2017).


Journal Article | Published | English
Department
Abstract
We present a new algorithm for the statistical model checking of Markov chains with respect to unbounded temporal properties, including full linear temporal logic. The main idea is that we monitor each simulation run on the fly, in order to detect quickly if a bottom strongly connected component is entered with high probability, in which case the simulation run can be terminated early. As a result, our simulation runs are often much shorter than required by termination bounds that are computed a priori for a desired level of confidence on a large state space. In comparison to previous algorithms for statistical model checking our method is not only faster in many cases but also requires less information about the system, namely, only the minimum transition probability that occurs in the Markov chain. In addition, our method can be generalised to unbounded quantitative properties such as mean-payoff bounds.
Publishing Year
Date Published
2017-05-01
Journal Title
ACM Transactions on Computational Logic (TOCL)
Volume
18
Issue
2
Article Number
12
ISSN
IST-REx-ID

Cite this

Daca P, Henzinger TA, Kretinsky J, Petrov T. Faster statistical model checking for unbounded temporal properties. ACM Transactions on Computational Logic (TOCL). 2017;18(2). doi:10.1145/3060139
Daca, P., Henzinger, T. A., Kretinsky, J., & Petrov, T. (2017). Faster statistical model checking for unbounded temporal properties. ACM Transactions on Computational Logic (TOCL), 18(2). https://doi.org/10.1145/3060139
Daca, Przemyslaw, Thomas A Henzinger, Jan Kretinsky, and Tatjana Petrov. “Faster Statistical Model Checking for Unbounded Temporal Properties.” ACM Transactions on Computational Logic (TOCL) 18, no. 2 (2017). https://doi.org/10.1145/3060139.
P. Daca, T. A. Henzinger, J. Kretinsky, and T. Petrov, “Faster statistical model checking for unbounded temporal properties,” ACM Transactions on Computational Logic (TOCL), vol. 18, no. 2, 2017.
Daca P, Henzinger TA, Kretinsky J, Petrov T. 2017. Faster statistical model checking for unbounded temporal properties. ACM Transactions on Computational Logic (TOCL). 18(2).
Daca, Przemyslaw, et al. “Faster Statistical Model Checking for Unbounded Temporal Properties.” ACM Transactions on Computational Logic (TOCL), vol. 18, no. 2, 12, ACM, 2017, doi:10.1145/3060139.

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